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Simplifying 0.45 + 0.05(14 + -1x) = 0.10(-41) 0.45 + (14 * 0.05 + -1x * 0.05) = 0.10(-41) 0.45 + (0.7 + -0.05x) = 0.10(-41) Combine like terms: 0.45 + 0.7 = 1.15 1.15 + -0.05x = 0.10(-41) Multiply 0.10 * -41 1.15 + -0.05x = -4.1 Solving 1.15 + -0.05x = -4.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.15' to each side of the equation. 1.15 + -1.15 + -0.05x = -4.1 + -1.15 Combine like terms: 1.15 + -1.15 = 0.00 0.00 + -0.05x = -4.1 + -1.15 -0.05x = -4.1 + -1.15 Combine like terms: -4.1 + -1.15 = -5.25 -0.05x = -5.25 Divide each side by '-0.05'. x = 105 Simplifying x = 105
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